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fix: align distributed layout notation #142

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fix: align distributed layout notation #142

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8 changes: 4 additions & 4 deletions _extra/demo/tile_distributed.html
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Original file line number Diff line number Diff line change
Expand Up @@ -85,7 +85,7 @@ <h2>GPU Mesh (2×2)</h2>
// ── Mapping functions ──────────────────────────────────────────

// Fully Sharded (S0S1):
// S[(2, 4, 2, 4) : (1@gpuid_y, 4@m, 1@gpuid_x, 1@m)]
// S[(2, 2, 4, 4) : (1@gpuid_y, 1@gpuid_x, 4@m, 1@m)]
// rows split by 2 → gpuid_y, cols split by 2 → gpuid_x
function shardGpus(r, c) {
const gy = Math.floor(r / 4), gx = Math.floor(c / 4);
Expand Down Expand Up @@ -185,7 +185,7 @@ <h2>GPU Mesh (2×2)</h2>

// Layout notations
const notations = {
shard: 'Layout: S[(2,4,2,4) : (1@gpuid_y, 4@m, 1@gpuid_x, 1@m)]',
shard: 'Layout: S[(2,2,4,4) : (1@gpuid_y, 1@gpuid_x, 4@m, 1@m)]',
replica: 'Layout: S[(2,4,8) : (1@gpuid_y, 8@m, 1@m)] + R[2 : 1@gpuid_x]',
offset: 'Layout: S[(2,4,8) : (1@gpuid_y, 8@m, 1@m)] + O[1@gpuid_x]',
};
Expand Down Expand Up @@ -313,8 +313,8 @@ <h2>GPU Mesh (2×2)</h2>
const addr = localAddr(gpus[0], loc.lr, loc.lc);
html = `<div class="ftitle">Element ${r*N+c} at (row=${r}, col=${c})</div>`;
html += '<div class="fcontent">';
html += `addr = (row // 4) × 1@gpuid_y + (row % 4) × 4@m + (col // 4) × 1@gpuid_x + (col % 4) × 1@m<br>`;
html += `&nbsp;&nbsp;&nbsp;&nbsp; = (${r} // 4) × 1@gpuid_y + (${r} % 4) × 4@m + (${c} // 4) × 1@gpuid_x + (${c} % 4) × 1@m<br>`;
html += `addr = (row // 4) × 1@gpuid_y + (col // 4) × 1@gpuid_x + (row % 4) × 4@m + (col % 4) × 1@m<br>`;
html += `&nbsp;&nbsp;&nbsp;&nbsp; = (${r} // 4) × 1@gpuid_y + (${c} // 4) × 1@gpuid_x + (${r} % 4) × 4@m + (${c} % 4) × 1@m<br>`;
html += `&nbsp;&nbsp;&nbsp;&nbsp; = <b>${gy}</b>@gpuid_y + <b>${gx}</b>@gpuid_x + <b>${addr}</b>@m`;
html += '</div>';
} else if (ST.mode === 'replica') {
Expand Down
8 changes: 4 additions & 4 deletions zh/_extra/demo_zh/tile_distributed.html
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Original file line number Diff line number Diff line change
Expand Up @@ -85,7 +85,7 @@ <h2>GPU Mesh (2×2)</h2>
// ── Mapping functions ──────────────────────────────────────────

// Fully Sharded (S0S1):
// S[(2, 4, 2, 4) : (1@gpuid_y, 4@m, 1@gpuid_x, 1@m)]
// S[(2, 2, 4, 4) : (1@gpuid_y, 1@gpuid_x, 4@m, 1@m)]
// rows split by 2 → gpuid_y, cols split by 2 → gpuid_x
function shardGpus(r, c) {
const gy = Math.floor(r / 4), gx = Math.floor(c / 4);
Expand Down Expand Up @@ -185,7 +185,7 @@ <h2>GPU Mesh (2×2)</h2>

// Layout notations
const notations = {
shard: 'Layout: S[(2,4,2,4) : (1@gpuid_y, 4@m, 1@gpuid_x, 1@m)]',
shard: 'Layout: S[(2,2,4,4) : (1@gpuid_y, 1@gpuid_x, 4@m, 1@m)]',
replica: 'Layout: S[(2,4,8) : (1@gpuid_y, 8@m, 1@m)] + R[2 : 1@gpuid_x]',
offset: 'Layout: S[(2,4,8) : (1@gpuid_y, 8@m, 1@m)] + O[1@gpuid_x]',
};
Expand Down Expand Up @@ -313,8 +313,8 @@ <h2>GPU Mesh (2×2)</h2>
const addr = localAddr(gpus[0], loc.lr, loc.lc);
html = `<div class="ftitle">Element ${r*N+c} 位于 (row=${r}, col=${c})</div>`;
html += '<div class="fcontent">';
html += `addr = (row // 4) × 1@gpuid_y + (row % 4) × 4@m + (col // 4) × 1@gpuid_x + (col % 4) × 1@m<br>`;
html += `&nbsp;&nbsp;&nbsp;&nbsp; = (${r} // 4) × 1@gpuid_y + (${r} % 4) × 4@m + (${c} // 4) × 1@gpuid_x + (${c} % 4) × 1@m<br>`;
html += `addr = (row // 4) × 1@gpuid_y + (col // 4) × 1@gpuid_x + (row % 4) × 4@m + (col % 4) × 1@m<br>`;
html += `&nbsp;&nbsp;&nbsp;&nbsp; = (${r} // 4) × 1@gpuid_y + (${c} // 4) × 1@gpuid_x + (${r} % 4) × 4@m + (${c} % 4) × 1@m<br>`;
html += `&nbsp;&nbsp;&nbsp;&nbsp; = <b>${gy}</b>@gpuid_y + <b>${gx}</b>@gpuid_x + <b>${addr}</b>@m`;
html += '</div>';
} else if (ST.mode === 'replica') {
Expand Down